Analysis and Applications of Some New Fractional Integral Inequalities

Autor:	Sofia Ramzan, Muhammad Uzair Awan, Silvestru Sever Dragomir, Bandar Bin-Mohsin, Muhammad Aslam Noor
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	?-convex mappings Simpson’s 1 3 formula midpoint formula trapezoidal formula integral inequalities fractional calculus Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 11, p 797 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7110797
Popis:	This paper presents a novel parameterized fractional integral identity. By using this auxiliary result and the s-convexity property of the mapping, a series of fractional variants of certain classical inequalities, including Simpson’s, midpoint, and trapezoidal-type inequalities, have been derived. Additionally, some applications of our main outcomes to special means of real numbers have been explored. Moreover, we have derived a new generic numerical scheme for solving non-linear equations, demonstrating an application of our main results in numerical analysis.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/be80fbe631fb41aaaa805f2cf9fedb1a Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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